You've pretty much summed them all up. There are a few siskin species in NZ but most of them require warmer climates and are very expensive with very few people breeding them.
I had a complete last years census of all the finches in NZ from the Finches Breeders Society (of members, there are others) but I have misplaced it? There are quite a few species with very few registered. It is very surprising how many finches are actually in NZ that you never see on TM or in Petshops. Very surprising!